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Finding the Fourth Proportional to 1,154.15, 1,591.08 and 711.76

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Solution

The fourth proportional to 1,154.15, 1,591.08 and 711.76 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.15 : 1,591.08 = 711.76 : x
  2. Step 2: Convert to fraction form
    1,154.15/1,591.08 = 711.76/x
  3. Step 3: Cross multiply
    1,154.15x = 1,591.08 × 711.76
  4. Step 4: Simplify right side
    1,154.15x = 1,132,459.15
  5. Step 5: Solve for x
    x = 1,132,459.15/1,154.15
  6. Step 6: Final answer
    x = 981.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.